Unit 3: Ratio Analysis Meaning: A ratio is a mathematical number calculated as a reference to relationship of two or more numbers and can be expressed as a fraction, proportion, percentage and a number of times. When the number is calculated by referring to two accounting numbers derived from the financial statements, it is termed as accounting ratio. It needs to be observed that accounting ratios exhibit relationship, if any, between accounting numbers extracted from financial statements. Ratios are essentially derived numbers and their efficacy depends a great deal upon the basic numbers from which they are calculated. Further, a ratio must be calculated using numbers which are meaningfully correlated. Objectives of Ratio Analysis: Ratio analysis is indispensable part of interpretation of results revealed by the financial statements. It provides users with crucial financial information and points out the areas which require investigation. Ratio analysis is a technique which involves regrouping of data by application of arithmetical relationships, though its interpretation is a complex matter. It requires a fine understanding of the way and the rules used for preparing financial statements. Once done effectively, it provides a lot of information which helps the analyst: 1. To know the areas of the business which need more attention; 2. To know about the potential areas which can be improved with the effort in the desired direction; 3. To provide a deeper analysis of the profitability, liquidity, solvency and efficiency levels in the business; 4. To provide information for making cross-sectional analysis by comparing the performance with the best industry standards; and 5. To provide information derived from financial statements useful for making projections and estimates for the future. Importance (or Advantages) of Ratio Analysis: 1. Helps to understand efficacy of decisions: The ratio analysis helps you to understand whether the business firm has taken the right kind of operating, investing and financing decisions. It indicates how far they have helped in improving the performance. 2. Simplify complex figures and establish relationships: Ratios help in simplifying the complex accounting figures and bring out their relationships. They help summarise the financial information effectively and assess the managerial efficiency, firm’s credit worthiness, earning capacity, etc. 3. Helpful in comparative analysis: The ratios are not be calculated for one year only. When many year figures are kept side by side, they help a great deal in exploring the trends visible in the business. The knowledge of trend helps in making projections about the business which is a very useful feature. 4. Identification of problem areas: Ratios help business in identifying the problem areas as well as the bright areas of the business. Problem areas would need more attention and bright areas will need polishing to have still better results. 5. Enables SWOT analysis: Ratios help a great deal in explaining the changes occurring in the business. The information of change helps the management a great deal in understanding the current threats and opportunities and allows business to do its own SWOT (Strength-Weakness-Opportunity-Threat) analysis. 6. Various comparisons: Ratios help comparisons with certain bench marks to assess as to whether firm’s performance is better or otherwise. For this purpose, the profitability, liquidity, solvency, etc. of a business, may be compared: (i) over a number of accounting periods with itself (Intra-firm Comparison/Time Series Analysis), (ii) with other business enterprises (Inter-firm Comparison/Crosssectional Analysis) and (iii) with standards set for that firm/industry (comparison with standard (or industry expectations). Limitations of Ratio Analysis: 1. Limitations of Accounting Data: Accounting data give an unwarranted impression of precision and finality. In fact, accounting data “reflect a combination of recorded facts, accounting conventions and personal judgements which affect them materially. For example, profit of the business is not a precise and final figure. It is merely an opinion of the accountant based on application of accounting policies. The soundness of the judgement necessarily depends on the competence and integrity of those who make them and on their adherence to Generally Accepted Accounting Principles and Conventions”. Thus, the financial statements may not reveal the true state of affairs of the enterprises and so the ratios will also not give the true picture. 2. Ignores Price-level Changes: The financial accounting is based on stable money measurement principle. It implicitly assumes that price level changes are either non-existent or minimal. But the truth is otherwise. We are normally living in inflationary economies where the power of money declines constantly. A change in the price-level makes analysis of financial statement of different accounting years meaningless because accounting records ignore changes in value of money. 3. Ignore Qualitative Aspects: Accounting provides information about quantitative (or monetary) aspects of business. But sometimes qualitative factors may surmount the quantitative aspects. The calculations derived from the ratio analysis under such circumstances may get distorted. For E.g., though credit may be granted to a customer on the basis of information regarding his financial position, yet the grant of credit ultimately depends on debtor’s character, honesty, past record and his managerial ability. 4. Variations in Accounting Practices: There are differing accounting policies for valuation of inventory, calculation of depreciation, treatment of intangibles Assets definition of certain financial variables etc., available for various aspects of business transactions. These variations leave a big question mark on the cross-sectional analysis. As there are variations in accounting practices followed by different business enterprises, a valid comparison of their financial statements is not possible. 5. Forecasting: Forecasting of future trends based only on historical analysis is not feasible. Proper forecasting requires consideration of non-financial factors as well. 6. Lack of ability to resolve problems: Their role is essentially indicative and of whistle blowing and not providing a solution to the problem. Balance Sheet Ratios: 1. Current Ratio = Current Assets Current Liabilities 2. Liquid Ratio = • • Quick (Liquid) Assets Quick (Liquid) Liabilities Liquid assets are those which are readily converted into cash and will include cash/ bank balances, bills receivable, sundry debtors and short term investments. Inventories and Prepaid Expenses are not included in liquid assets. Liquid Liabilities includes all items of current liabilities except Bank Overdraft. 3. Proprietary Ratio = Proprietors funds Total Assets • • Proprietor fund = Share capital(Equity & Pref.) + Retained earnings (less loss if any) -Fictitious assets Total Assets = Fixed Assets + Current Assets-Fictitious assets 4. Stock Working capital Ratio = Closing Stock Working Capital • Working Capital = Current assets – Current liabilities 5. Capital Gearing Ratio = Fixed Interest & Dividend Bearing Funds Equity Share holders fund • Equity Share holders fund= Equity Sh. Capital + Retained earnings (less loss if any) -Fictitious assets 6. Debt Equity Ratio = Long Term Debt Proprietors Fund Prob1: Liabilities Equity Share Capital Preference share capital General Reserve Secured Loan Sundry Creditors Rs. 5,00,000 2,00,000 1,00,000 3,00,000 1,00,000 Assets Land & Building Machinery Furniture Inventory Sundry Debtors Cash/Bank Balance 12,00,000 Calculate Following Ratios from the above balance sheet: 1. Current Ratio 2. Liquid Ratio Rs. 1,00,000 4,00,000 50,000 3,00,000 3,00,000 50,000 12,00,000 3. Proprietary Ratio 4. Stock Working capital Ratio 5. Capital Gearing Ratio 6. Debt Equity Ratio Solution: 1. Current ratio = Current assets/current liabilities Current assets = inventory (3,00,000)+ s.debtors(3,00,000) + cash balance(50,000) = 6,50,000 Current liabilities = S.Creditors = 1,00,000 2. Liquid ratio = 6,50,000/1,00,000 = 6.5:1 = liquid assets/liquid liabilities liquid assets = s.debtors(3,00,000) + cash balance(50,000) = 3,50,000 liquid liabilities = S.Creditors = 1,00,000 3. Proprietary Ratio = 3,50,000/1,00,000 = 3.5:1 Proprietors fund / total assets Proprietor fund = Share capital(Equity & Pref.) + Retained earnings (less loss if any) -Fictitious assets = 5,00,000 + 2,00,000 + 100,000 = 8,00,000 Total Assets = Fixed Assets + Current Assets-Fictitious assets = 12,00,000 4. Stock Working capital Ratio 5. Capital Ratio Gearing = 800,000/12,00,000 = 0.66 : 1 = closing stock / working capital = 300,000 / 5,50,000 = 0.55:1 Working capital (CA-CL= 6,50,000 – 1,00,000 = 5,50,000) = Fixed Interest & Dividend Bearing Funds Equity Share holders fund Fixed Interest & Dividend Bearing Funds = pref sh. (2,00,000) + secured loan (3,00,000) = 500,000 Equity Share holders fund = Eq. Shares (5,00,000) + GR (100,000) = 600,000 6. Debt Ratio Equity = 500,000 / 600,000 = 0.83 : 1 =Long Term Debt Proprietors Fund Long term debt = secured loan (300,000) = 3,00,000/8,00,000 = 0.38 : 1 Prob 2: Liabilities Equity Share Capital 12% Preference share capital General Reserve 16% debentures Trade payable Bank overdraft Provision for Income Tax Rs. Assets Rs. 2,00,000 Machinery 5,92,000 3,60,000 Investment 2,24,000 1,40,000 Stock 2,02,000 2,40,000 Bills Receivable 40,000 2,44,000 S. Debtors 98,000 40,000 Cash and Bank 76,000 36,000 Profit & Loss A/c 28,000 12,60,000 12,60,000 Calculate Following Ratios from the above balance sheet: 1. Current Ratio 2. Liquid Ratio 3. Proprietary Ratio 4. Capital Gearing Ratio 5. Debt Equity Ratio Solution: 1. Current ratio = Current assets/current liabilities Current assets = stock (2,02,000)+ BR (40,000)+ s.debtors(98000) + cash balance(76,000) = 4,16,000 Current liabilities = trade payable (2,44,000) + Bank o/d(40,000) + provision for income tax (36,000) = 320,000 2. Liquid ratio = 4,16,000/3,20,000 = 1.3:1 = liquid assets/liquid liabilities liquid assets = BR (40,000)+ s.debtors(98000) + cash balance(76,000) = 2,14,000 liquid liabilities = trade payable (2,44,000) provision for income tax (36,000) = 2,80,000 3. Proprietary Ratio = 2,14,000/2,80,000 = 0.76:1 Proprietors fund / total assets Proprietor fund = Share capital(Equity & Pref.) + Retained earnings (less loss if any) -Fictitious assets = 2,00,000 + 3,60,000 + 140,000-28,000 = 6,72,000 Total Assets = Fixed Assets + Current Assets-Fictitious assets = 12,60,000 – 28,000 = 12,32,000 4. Capital Ratio Gearing = 6,72,000/12,32,000 = 0.55 : 1 = Fixed Interest & Dividend Bearing Funds Equity Share holders fund Fixed Interest & Dividend Bearing Funds = pref sh. (3,60,000) + debentures (2,40,000) = 6,00,000 Equity Share holders fund = Eq. Shares (2,00,000) + GR (1,40,000) – profit & loss (28000) = 3,12,000 5. Debt Ratio Equity = 600,000 / 3,12,000 = 1.92 : 1 =Long Term Debt Proprietors Fund Long term debt = debentures (2,40,000) = 2,40,000/6,70,000 = 0.36 : 1 Practice problems: Prob 3: Liabilities Equity Share Capital 10% Preference share capital General Reserve 15% debentures Trade payable Bank overdraft Provision for Tax Rs. Assets 1,00,000 Furniture 1,80,000 Trademarks 70,000 Stock 1,20,000 Bills Receivable 1,22,000 Trade Receivables 20,000 Cash and Bank 18,000 Profit & Loss A/c 6,30,000 Calculate Following Ratios from the above balance sheet: 1. Current Ratio 2. Liquid Ratio 3. Proprietary Ratio 4. Capital Gearing Ratio 5. Debt Equity Ratio Rs. 2,96,000 1,12,000 1,01,000 20,000 49,000 38,000 14,000 6,30,000 Prob 4: The Balance Sheet of Trident Limited as on 31‐12‐2017 was as follow: Liabilities Equity Share Capital Capital Reserve Profit & Loss A/c 7% Mortgage Loan Creditors Bank overdraft Provision for Income Tax Rs. Assets 40,000 Plant & Machinery 8,000 Land & Building 12,000 Furniture & Fixtures 32,000 Stock 16,000 Debtors 4,000 Investment (Short-term) 8,000 Cash at bank 1,20,000 You are required to Calculate Following Ratios: 1. Current Ratio (1.43:1) 2. Liquid Ratio (1.17:1) 3. Proprietary Ratio (0.5: 1) or 50%) 4. Capital Gearing Ratio (0.53: 1) 5. Debt Equity Ratio (0.53: 1) or 53%) Rs. 24,000 40,000 16,000 12,000 12,000 4,000 12,000 1,20,000 Prob 5: The Balance Sheet of omega Limited as on 31‐12‐2018 was as follow: Liabilities Equity Share Capital 8% Pref. Share Capital Reserves & Surplus 10% Debenture 9% Secured Loan Creditors Bank overdraft Bills Payable Outstanding Expenses Rs. Assets 20,00,000 Machinery 15,00,000 Patents & Trademarks 11,00,000 Stock 10,00,000 Debtors 5,00,000 Bills Receivables 1,00,000 Cash at bank 1,50,000 Fictitious Assets 45,000 5,000 64,00,000 You are required to Calculate Following Ratios: 1. Current Ratio (2.67:1) 2. Liquid Ratio (4.17:1) 3. Proprietary Ratio (0.71: 1) or 71%) 4. Capital Gearing Ratio (1: 1) 5. Debt Equity Ratio (0.33: 1) or 33%) Prob 6: Following is the summarised Balance Sheet of Borkar tiles Ltd. as on 31‐3‐19. Liabilities Rs. Assets Equity Shares of Rs. 10 Each 10,00,000 Fixed Assets 10% Pref. Shares of Rs. 100 4,00,000 Investments each Closing Stock Reserves and surplus 7,00,000 S. Debtors 15% Debentures 5,00,000 Bills Receivables Sundry Creditors 2,40,000 Cash Balance Bank Overdraft 1,60,000 Preliminary Expenses 30,00,000 You are required to Calculate Following Ratios: 1. Current Ratio (1.95:1) 2. Liquid Ratio (2.42:1) 3. Proprietary Ratio (0.70: 1) or 70%) 4. Capital Gearing Ratio (0.54: 1) 5. Debt Equity Ratio (0.24: 1) or 24%) Rs. 35,00,000 20,00,000 1,75,000 3,50,000 50,000 2,25,000 1,00,000 64,00,000 Rs. 20,00,000 2,00,000 2,00,000 4,60,000 60,000 60,000 20,000 30,00,000 INCOME STATEMENT RATIOS: 1. Gross Profit Ratio = Gross Profit X100 Net Sales Purpose: Indicates the efficiency of production and trading operations . 2. Operating Ratio = Cost of Goods Sold + Operating Expenses X100 Net Sales Purpose: index of managerial ability to control operating expenses. 3. Expenses Ratio= Operating Expenses X100 Net Sales (Expenditure may be cost of production or Cost of sales, administrative or Selling or distribution expenses or any other Element of Group) Purpose: Indicates the direction in which economies ought to be effected. 4. Net Operating Profit Ratio = Operating Profit X100 Net Sales Purpose: Index of Operating Efficiency. 5. Net Profit Ratio = Net Profit After Tax X100 Net Sales Purpose: Indicates Net Margin on sales. Prob. 1: Following is the Income Statement of Urja Auto. Ltd. For the year ended 31st Dec 2019. You are required to calculate: 1) Gross Profit Ratio; 2) Operating Ratio; 3) Net operating Profit Ratio and 4) Net Profit Ratio. Particulars Sales Less: Cost of goods Sold Gross Profit Less: Operating Expenses Operating Profit Add: Non –operating income Less: Non –operating Expenses Profit before Tax Less: Tax @ 30% Net Profit After Tax Rs. 20,00,000 12,00,000 8,00,000 4,80,000 3,20,000 48,000 3,68,000 16,000 3,52,000 1,05,600 2,46,400 Solution: (Hint: only needs to replace available figures with respective formula to arrive at answer) 1. Gross Profit Ratio = 800000/20,00,000 x 100 = 40% 2. Operating ratio = 12,00,000 + 4,80,000 X100 = 84% 20,00,000 3. Net operating profit Ratio = 3,20,000/20,00,000 x 100 = 16% 4. Net profit ratio = 2,46,400/20,00,000 x 100 = 12.3% Prob. 2: The following Trading and Profit and Loss Account of Tiptop Ltd. for the year 31‐3‐2019 is given below: Particulars To opening stock To purchases To Carriage inward To wages To Gross profit c/f Rs. Particulars 76,250 By Sales 3,15,250 By Closing stock 2,000 5,000 2,00,000 5,98,500 To Administrative 1,01,000 By Gross profit b/d exp. 12,000 By interest on securities To Selling & dist. 2,000 By dividend on shares 7,000 By profit on sale of Exp. To non operating 84,000 shares exp. To financial exp. To net profit c/d 2,06,000 Calculate: Gross profit ratio, Expense ratio, operating ratio, profit ratio. Solution: 1. Gross profit ratio = 2,00,000/500,000 x 100 = 40% Rs. 5,00,000 98,500 5,98,500 2,00,000 1,500 3,750 750 2,06,000 net operating profit ratio & net 2. Expense ratio = operating exp. / net sales x 100 1,13,000+5,00,000 x 100 = 22.60% 3. Operating ratio = cost of goods sold +operating Exp / net sales x100 3,00,000 + 1,13,000 x100 5,00,000 (Cost of Goods sold = Op. stock + purchases + carriage inward + wages – Closing Stock) 4. Operating profit ratio = operating profit / net sales = 87,000 /5,00,000 x 100 = 17.40% (Operating profit = sales – (cost of goods sold + operating exp.) 5. Net profit ratio = Net profit/net sales x 100 84,000 / 5,00,000 x 100 = 16.8% Practice problems: Prob. 3: Following is the Income Statement of Durv Pvt. Ltd. For the year ended 31st March 2017. Particulars Net Sales Less: Cost of goods Sold Gross Profit Less: Operating Expenses Operating Profit Add: Non –operating income Less: Non –operating Expenses Profit before Tax Tax Rate is 40% Rs. 12,00,000 7,00,000 5,00,000 2,00,000 3,00,000 45,000 3,45,000 25,000 3,20,000 Calculate: 1) Gross Profit Ratio; 2) Operating Ratio; 3) Net operating Profit Ratio and 4) Net Profit Ratio. Prob. 4: From the following information for the year ended 31st Dec 2018, You are required to calculate: 1) Gross Profit Ratio; 2) Operating Ratio; 3) Net operating Profit Ratio and 4) Net Profit Ratio. Total Sales- Rs. 5,00,000/Sales Return- Rs. 50,000/Gross Profit – 40% of Net Sales. Cost of goods sold – Rs. ?? Operating Expenses – Rs.60,000/Non-operating Income – Rs. 21,000/Tax Rate is 50% Hint: first prepare income statement and then calculate ratios.